SOME PROPERTIES OF BIVARIATE FIBONACCI AND LUCAS QUATERNION POLYNOMIALS

Arzu Özkoç Öztürk, Faruk Kaplan

DOI Number
https://doi.org/10.22190/FUMI2001073O
First page
073
Last page
087

Abstract


In this work, we introduce bivariate Fibonacci quaternion polynomials andbivariate Lucas quaternion polynomials. We present generating function,Binet formula, matrix representation, binomial formulas and some basicidentities for the bivariate Fibonacci and Lucas quaternion polynomialsequences. Moreover we give various kinds of sums for these quaternionpolynomials.

Keywords

Bivariate Fibonacci quaternion polynomials, Bivariate Lucas quaternion polynomials, Generating function, Binet formula.

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References


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DOI: https://doi.org/10.22190/FUMI2001073O

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